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A column is fabricated by bolting a 1/4 x 6 plate to the top of a W14x342. Determine the distance from the bottom of the W-shape to the centroid of the composite cross section.

A W14x370 made with A992 steel is pinned at both ends and braced in the weak direction as shown. Determine the value of the controlling slenderness ratio Lc/r. Let L1 = 27 ft, L2 = 11 ft, and L3 = 16 ft.

Bending is about the x-axis of each member in the unbraced frame. Determine the value for G (that would be used for GA or GB in the alignment charts) at point G in the frame. Girders BF, CG and DH are W18 x 35 and have a length of L1 = 22 ft.Girders FJ, GK and HL are W21 x 50 and have a length of L2 = 36 ft.Columns AB, EF and IJ are W10 x 77 and have a length of L3 = 16 ft.Columns BC, FG and JK are W10 x 45 and have a length of L4 = 12 ft.Columns CD, GH and KL are W10 x 30 and have a length of L4 = 12 ft.

A column is fabricated by bolting a 1 x 6 plate to the bottom of a W14x48. Determine the distance from the bottom of the plate to the centroid of the composite cross section.

A column is fabricated by welding a 1/2 x 18 plate to the left and right of a W14x99. Determine the moment of inertia about the y axis.

Bending is about the x-axis of each member in the unbraced frame. Determine the value for G (that would be used for GA or GB in the alignment charts) at point G in the frame. Girders BF, CG and DH are W21 x 44 and have a length of L1 = 24 ft.Girders FJ, GK and HL are W24 x 68 and have a length of L2 = 32 ft.Columns AB, EF and IJ are W10 x 88 and have a length of L3 = 14 ft.Columns BC, FG and JK are W10 x 39 and have a length of L4 = 12 ft.Columns CD, GH and KL are W10 x 26 and have a length of L4 = 12 ft.

Determine the effective length factor, Kx, for column FG of the frame, assuming that the frame is sidesway inhibited and that all of the assumptions on which the alignment charts were developed are met.Girders BF, CG and DH are W18 x 55 and have a length of L1 = 26 ft.Girders FJ, GK and HL are W24 x 68 and have a length of L2 = 28 ft.Columns AB, EF and IJ are W10 x 88 and have a length of L3 = 14 ft.Columns BC, FG and JK are W10 x 45 and have a length of L4 = 10 ft.Columns CD, GH and KL are W10 x 30 and have a length of L4 = 10 ft.

A W8 x 67 column is made from ASTM A36 steel and has a length of 21 ft with Kx = 2.1 and Ky = 1.0. Determine the nominal compressive strength, Pn, for this column. Assume the shape is nonslender.

A column is fabricated by bolting a 5/8 x 6 plate to the top and bottom of a W14x68. Determine the moment of inertia about the y axis.

Bending is about the x-axis of each member in the unbraced frame. Determine the value for G (that would be used for GA or GB in the alignment charts) at point G in the frame. Girders BF, CG and DH are W18 x 55 and have a length of L1 = 24 ft.Girders FJ, GK and HL are W24 x 55 and have a length of L2 = 36 ft.Columns AB, EF and IJ are W10 x 88 and have a length of L3 = 14 ft.Columns BC, FG and JK are W10 x 45 and have a length of L4 = 12 ft.Columns CD, GH and KL are W10 x 26 and have a length of L4 = 12 ft.